Answer:
There are 8 penguins and 6 reindeers.
Step-by-step explanation:
Since Brian, the gorilla, was planning a party for his zoo friends, and he sent his elves Jamie and Nancy into the North Pole exhibit to count the penguins and reindeer, and Jamie said there were 40 legs and Nancy said there were 14 heads To determine how many penguins and reindeer were in the exhibit, the following calculation must be performed:
Penguins: 1 head and 2 legs
Reindeers: 1 head and 4 legs
40 - (14 x 2) = X
40 - 28 = X
12 = X
12/2 = 6
14 - 6 = 8
8 x 2 + 6 x 4 = X
16 + 24 = X
40 = X
Therefore, there are 8 penguins and 6 reindeers.
If the area of a circle is 16π, the circumference of the circle is:
A. 8π
B. 16π
C. 2π
D. 4π
Young's modulus is a quantitative measure of stiffness of an elastic material. Suppose that for metal sheets of a particular type, its mean value and standard deviation are 75 GPa and 1.7 GPa, respectively. Suppose the distribution is normal. (Round your answers to four decimal places.)
Required:
a. Calculate P(79 <= P <= 81) when n = 25.
b. How likely is it that the sample mean diameter exceeds 81 when n = 36?
Answer:
a) P(79 <= P <= 81) = 0.9968
b) P( X > 81 ) = 0.0002
Step-by-step explanation:
mean value = 75 GPa
standard deviation = 1.7 GPa
a) Determine P(79 <= P <= 81)
given that : n = 25
attached below is the detailed solution
P(79 <= P <= 81) = 0.9968
b) Determine how likely the sample mean diameter will exceed 81
given that n = 36
mean diameter = 81
P( X > 81 ) = 0.0002
The picture shows the graph of the movement of a pedestrian (B) and a bicyclist (A). Using the graph, answer the following questions: How many times is the distance covered by the bicyclist for 1 hour greater than the distance covered by the pedestrian for the same amount of time
Answer:
15km
Step-by-step explanation:
hope it is well understood
Determine the volume of the shaded region?
Answer:
volume of shaded region = 112.94 [tex]cm^{3}[/tex]
Step-by-step explanation:
Volume of a cylinder = [tex]\pi r^{2}h[/tex]
volume = 22/7 * [tex]2.5^{2}[/tex] * 14.6
volume = 286.67 [tex]cm^{3}[/tex] approx
volume of sphere = [tex]\frac{4}{3} \pi r^{3}[/tex]
volume = [tex]\frac{4}{3} *\frac{22}{7}*2.4^{3}[/tex]
volume= 57.91 [tex]cm^{3}[/tex] approx
No, of sphere = 3
Volume of 3 sphere = 3 * 57.91
=173.73 [tex]cm^{3}[/tex]
Now , volume of shaded region = volume of cylinder - total volume of sphere
volume of shaded region = 286.67 - 173.73
=112.94 [tex]cm^{3}[/tex]
Suppose your Unit Quiz grades have been: 85%, 80%, 96%, 72%, 78%, 85% and 92%
a) What is your average/mean score?
b) What is the median score?
c) What is the mode score?
d) Why is the mean lower than the median?
e) What will your mean be if you get a perfect score of 100% on your next quiz?
Answer:
mean: 84
median: 85
mode: 85
explainations for d and e below.
Step-by-step explanation:
mean:
(85+80+96+72+78+85+92)/7 = 544/7 = 84
median:
sort them in order from least to greatest first
72, 78, 80, 85, 85, 92, 96
find the middle number in that order, that's your median. in this case, it's 85.
mode:
number that appears the most in the order; the frequency. in this case as well, it's also 85.
answer for d:
the reason why the mean is lower than the median is because of the fact we were figuring out the average and had to divide, unlike the median where it's just the middle of the order we have.
answer for e:
(85+80+96+72+78+85+92+100)/8 = 644/8 = 80.5%
p.s: please subscribe to #gauthmath# sub reddit if you can for more help.
look at the image for the quetion
Answer:
Does the answer help you?
Click on the picture for the answer
Answer:
the answer is 1/14
hope this helps you
9514 1404 393
Answer:
(a) 1/14
Step-by-step explanation:
Fractions are multiplied by multiplying numerators and denominators. They are reduced by cancelling common factors. When a product has an even number of minus signs, it is positive.
[tex]\left(-\dfrac{3}{7}\right)\cdot\left(-\dfrac{1}{6}\right)=\dfrac{(-3)(-1)}{7\cdot6}=\dfrac{3}{7\cdot2\cdot3}=\dfrac{1}{7\cdot2}=\boxed{\dfrac{1}{14}}[/tex]
Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. They randomly survey 401 drivers and find that 294 claim to always buckle up. Construct a 90% confidence interval for the population proportion that claim to always buckle up. Use interval notation, for example, [1,5].
Answer:
[0.6969, 0.7695]
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
They randomly survey 401 drivers and find that 294 claim to always buckle up.
This means that [tex]n = 401, \pi = \frac{294}{401} = 0.7332.
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.7332 - 1.645\sqrt{\frac{0.7332*0.2668}{401}} = 0.6969[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.7332 + 1.645\sqrt{\frac{0.7332*0.2668}{401}} = 0.7695[/tex]
The 90% confidence interval for the population proportion that claim to always buckle up is [0.6969, 0.7695]
Find an equation of a plane containing the line r=⟨0,4,4⟩+t⟨−3,−2,1⟩ which is parallel to the plane 1x−1y+1z=−5 in which the coefficient of x is 1.
..?.. = 0.
The plane you want is parallel to another plane, x - y + z = -5, so they share a normal vector. In this case, it's ⟨1, -1, 1⟩.
The plane must also pass through the point (0, 4, 4) since it contains r(t). Then the equation of the plane is
⟨x, y - 4, z - 4⟩ • ⟨1, -1, 1⟩ = 0
x - (y - 4) + (z - 4) = 0
x - y + z = 0
Find the slope of the line
Slope=m=_____
Answer:
4
Step-by-step explanation:
Slope = y2-y1/x2-x1
We need to find two points on the graph, let's take these two points:
(x1, y1) (X2,y2)
(0,-6) and (2,2)
(2-(-6)/ (2-0) = 8/2 = 4
Answered by Gauthmath
Which table contains ordered pairs that lie on the graph of the equation -2x + 4y = 16?
Answer:
C
Step-by-step explanation:
To figure out which pairs lie on -2x+4y = 16, we can plug the x and y values into the equation to see if they work. We need all pairs of x and y values in a table to work for the answer to be correct
A)
x=-4, y=2
-2x+4y = -2 * (-4) + 4 * (2) = 8 + 8 = 16. This works. Note that two negatives multiplied together make a positive, and 4*2 = 8
x=0, y=8
-2x + 4y = -2 * (0) + 4 * (8) = 0 + 32 = 32. This does not work, as 32 is not 16. Note that anything multiplied by 0 is 0
B)
x=8, y=0
-2x+4y = -2 * (8) + 4 * (0) = -16. This is not equal to 16. Note that a negative multiplied by a positive is still a negative
x=2, y=3
-2x + 4y = -2 * (2) + 4 * (3) = -4 + 12 = 8. This is not equal to 16.
C)
x=0, y=4
-2x + 4y = -2 * (0) + 4 * (4) = 0 + 16 = 16. This works
x=4, y=6
-2x + 4y = (-2)* (4) + 4 * (6) = -8 + 24 = 16. This works. As both pairs of values in the table works, this is the correct answer. Nevertheless, we can check D to make sure.
D)
x=-2, y=5
-2x+4y = -2 * (-2) + 4 * (5) = 4 + 20 = 24. This is not 16
x=-8, y=0
-2x+4y = -2 * (-8) + 4 * (0) = 16. This works, but the other pair does not work, so D is incorrect
Answer:
C
Step-by-step explanation:
Edge 2022
Where are the minimum and maximum values for f(x) = -2 + 4 cos x on the interval (0,21]?
Answer:
Step-by-step explanation:
Maximum value is when cos x = 1
So it is -2 + 4(1) = 2.
Minimum value, when cos x = -1:
= -2 + 4(-1) = -6.
Answer:
The maximum 2 is reached when x=2pi,4pi, and 6pi.
The minimum -6 is reached when x=pi, 3pi,and 5pi.
Step-by-step explanation:
So let's first look at cos(x) on interval (0,21].
How many rotations is that? Does it at least contain 1 full rotation? If it contains one full rotation that means all the values from -1 to 1 (inclusive) are tagged? If it doesn't contain a full rotation, we might have to dig a little deeper.
So we know x=0 isn't included and that's when cosine is first 1,but this doesn't mean 1 won't be hit later.
Let's figure out the number of rotations:
21/(2pi)=3.3 approximately
This means we make at least 3 rotations.
So this means we definitely will have all the values from -1 to 1 tagged (inclusive).
Now let's look at whole function.
f(x) = -2 + 4 cos x
-2+(-4) to -2+4 will be the range of the function
So the minimum is -6 and the maximum is 2.
So the min occurs when cos(x)=-1 and the max occurs when cos(x)=1.
We have a little over three rotations and remember we can't include x=0.
cos(x)=1
when x=2pi (one full rotation)
when x=4pi (two full rotations)
when x=6pi (three full rotations)
We will stop here because cosine won't be 1 again until a fourth full rotation
cos(x)=-1
when x=pi (half rotation)
When x=3pi (one + half rotation)
When x=5pi (two+half rotation)
We can't include x=7pi (three+half rotation)
because this one is actually not in the interval because 3.5 is more than 3.3 .
The maximum 2 is reached when x=2pi,4pi, and 6pi.
The minimum -6 is reached when x=pi, 3pi,and 5pi.
An Internet company reported that its earnings will be less than the 24 cents per share that was predicted. Write an inequality showing the possible earnings per share.
Answer:
e < 24 is the inequality which shows the possible earnings per share.
Explanation:
x, will stand for the variable for earnings and less than, means it will not be higher nor the same as 24. Thus, being leaves us with one sign. The open part facing 24 means that 24 is the bigger number, therefore the smaller side represents that x has to be smaller than 24.
Answer: x<24
Step-by-step explanation:
x, will stand for the variable for earnings and less than means it will not be higher nor the same as 24. Thus being leaves us with one sign. The open part facing 24 means that 24 is the bigger number therefore the smaller side represents that x has to be smaller than 24.
Nathan saves 5 1/4% of his weekly salary. Naban earns $380.00 per week. How much
does he save per week?
.
A.$19.95
B.$20.52
C.$21.95
D.$25.20
Answer:
19.95
Step-by-step explanation:
Take the amount of his salary and multiply by 5 1/4 %
380 * .0525
19.95
Which transformations are needed to change the parent sine function to y = one-fourth sine (4 (x + StartFraction pi Over 6 EndFraction))? vertical stretch of One-fourth, horizontal stretch to a period of 2p, phase shift of StartFraction pi Over 6 EndFraction units to the left vertical compression of One-fourth, horizontal compression to a period of StartFraction pi Over 2 EndFraction, phase shift of StartFraction pi Over 6 EndFraction units to the left vertical stretch of 4, horizontal stretch to a period of 8p, phase shift of StartFraction pi Over 6 EndFraction units to the right vertical compression of 4, horizontal compression to a period of StartFraction pi Over 4 EndFraction, phase shift of StartFraction pi Over 6 EndFraction units to the right
Answer: Option B is correct
Step-by-step explanation: edge 2021
Answer:
b
Step-by-step explanation:
a swimming pool is 130 feet long and the length is 3 times the width plus 10 feet. Let x be the width of the pool. how wide is the pool?
Answer:Perimeter of a rectangle is 2*the length plus 2*the width
P = 2L + 2W and P = 130, so
L + W = 65
Three times the length is equal to 10 times the width, giving
3L = 10W
Substituting into the above for L = 65 – W,
3(65 – W) = 10W
195 – 3W = 10W
195 = 13W
W = 195/13 = 15
W = 15 yards,
And L = (10/3)W = (10/3)*15 = 50
L = 50 yards
Step-by-step explanation:
What do these have in common
Answer:
All Equal to 0
Step-by-step explanation:
0 = 0
3 - 3 = 0
0/4 = 0
12 - 3*4 = 0
A letter is chosen from the word 'brilliant'. Determine the probability that it will be: Give your answers in their lowest terms.
Answer:
Step-by-step explanation:
brilliant has 9 letters
brilliant has 1 B (1/9)
brilliant has 1 R (1/9)
brilliant has 2 I's (2/9)
brilliant has 2 L's (2/9)
brilliant has 1 A (1/9)
brilliant has 1 N (1/9)
brilliant has 1 T (1/9)
The picture shows the graphs of the movement of a pedestrian (B) and a bicyclist (A) . Using the graphs, answer the following questions:
How many times is the distance covered by the bicyclist for 1 hour greater than the distance covered by the pedestrian for the same amount of time?
Answer:
15km
Step-by-step explanation:
hope it is well understood?
Answer:
5 times.
Step-by-step explanation:
First, look at the values of each line at the 1-hour mark.
For line A (the bicyclist), the distance is about 25 km.
For line B (the pedestrian), the distance is about 5 km.
To determine how many times greater the bicyclist distance is than the pedestrian, divide the values:
[tex]\frac{25\text{km}}{5\text{km}}=5[/tex]
Therefore, the distance covered by the bicyclist for 1 hour is 5 times greater than the distance covered by the pedestrian for the same amount of time.
4x+2y=5 , 2x-3y=13 pair of equations to two decimal places of accuracy.
Answer:
x = 2.56, y = -2.63
Step-by-step explanation:
I first multiplied the second equation by two, getting
4x-6y = 26
I then subtracted the equations
4x+2y = 5
- 4x-6y = 26
--------------------
8y = -21
y = -2.63
with y solved, I plugged it into the second equation to get x:
2x-3(-2.63) = 13
2x+ 7.89 = 13
2x = 5.11
x = 2.56
I hope this helped! ;D
The value of 4√(10) -2 is
Answer:
8√2
Step-by-step explanation:
4√(10) -2
= 4√8
=4√4×2
=4×2√2
=8√2
Please Answer This!!! I NEEEDDD TOOO KNOWWWWW ANSWER!!!
Answer:
77.5
Step-by-step explanation:
Its rising at a constant rate between +10-15 each hour, so we if we were to add 25 or so to the 50, it would be close to 77.5, so I would assume the answer was B
12345 are divisible by 15 with exlpin
Answer:
hfwhww45 5h wahdaw 5656 adshjdawh bh4 54
Step-by-step explanation:
5767
12345
Sum of digits = 1+2+3+4+5
= 15
Which means divisible by 3
Ends with 0 or 5 = Yes ends with 5
Therefore the number is divisible by 15
12345÷15 = 823
Divisiblity rule of 15 = Any number is divisible by 15 if the sum of the digits is divisible by 3 and the number ends with a 0 or 5.
Must click thanks and mark brainliest
Operaciones con funciones Suma, resta, multiplicación y división
F(x) 6x+2
G(x) 3x-2
AYUDAAA
Answer:
let us do one night
Step-by-step explanation:
Agg-77182882
(#(+2+
A diamond ring was reduced from $999.99 to S789.99. Find the percent reduction in the price. Round the answer to the nearest tenth of a percent, if
necessary.
The reduction in price is?
Answer:
21%
Step-by-step explanation:
Percentage reduction is (999.99-789.99)/(999.99)=21%
Kirk is ordering a cheeseburger for lunch. There are 9 cheeses and 7 buns to choose from. For the sauce, Kirk has 4 options. How many different hamburgers can Kirk order if he makes exactly one selection for each option?
Answer:
252 options
Step-by-step explanation:
Please let me know if you want an explanation for why this is the answer (comment on this answer). A lot of people don't actually read the explanations, so I wouldn't want to waste my time. However, if you would like it I would be more than happy to type one out for you. Thanks!
What is the value of -
-X2 - 4x – 11 if x = -3?
The true length of recovery for patients with knee surgery is normally distributed with a mean of 123 days and a standard deviation of 1 day. What proportion of the patients will recover between 121 and 124 days?
Answer:
0.81859
Step-by-step explanation:
Given that the length of recovery days for patients with knee surgery is normally distributed with :
Mean, μ = 123 days
Standard deviation, σ = 1 day
The proportion of patients that will recover with 121 and 124 days :
We obtain the Probability of Z score :
Z = (x - μ) / σ
P(Z < (x - μ) / σ) < Z < P(Z < (x - μ) / σ)
P(Z < (121 - 123) / 1) < Z < P(Z < (124 - 123) / 1)
P(Z < - 2) < Z < P(Z < 1)
Using the normal distribution table :
P(Z < 1) - P(Z < - 2)
0.84134 - 0.02275
= 0.81859
help! due august 12th
Madison represented the sentence "The product of 3 and the difference of and the quotient of a number and is at most 5" by using the inequality . Which best describes Madison’s error?a) The difference of –4 and the quotient of a number and –2" should be written as . b) The product of 3 and the difference of –4 and the quotient of a number and –2" should be written as . c) The less than symbol should be replaced with the less than or equal to symbol. d) The less than symbol should be replaced with the greater than symbol.
Answer:
c) The less than symbol should be replaced with the less than or equal to symbol.
Step-by-step explanation:
3(-4 - n/-2) < 5
The equation written above could be interpreted as :
The product of 3 and the difference of -4 and the quotient of a number, n and -2 is less than 5
This means that the only error in Maddison's representation is the inequality sign, the inequality sign used by Maddison is wrong.
The equation should be used with a ≤ sign and expressed thus :
3(-4 - n/-2) ≤ 5
This means the left hand side (L. H. S) is less than or equal to 5 ; this means the L. H. S is at most 5
Answer:
C
Step-by-step explanation:
